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以积分模型代替条分模型可以提高边坡稳定性系数的计算精度,参考坡脚圆和坡底圆的两类滑动面形式,通过水平和竖直积分得到瑞典圆弧法的边坡稳定性解析式,并与不同方法比较。结果表明:忽略条间力的水平积分模型的解要小于竖直积分解,得到更为保守的稳定性系数,是稳定性系数的下限解;通过数学归纳法得到了边坡水平积分模型的广义形式,匀质土层、异形边坡,成层土、含有稳定水位的边坡都可适用于水平积分方法;竖直积分模型逼近稳定性系数的上限解,应用时要注意稳定性系数的放大,避免不安全的评价。竖直积分和水平积分两种方法可分别界定稳定性系数的上下限,为合理选用边坡稳定性系数提供思路。
Integral model instead of the bar model can improve the calculation accuracy of the slope stability coefficient. Two kinds of sliding surface forms of slope foot circle and slope bottom circle are introduced. The stability of the Swedish arc method is analyzed by horizontal and vertical integration Style, and compared with different methods. The results show that the solution of the horizontal integral model ignoring the force of the bars is less than that of the vertical integral solution, and the more conservative stability coefficient is obtained, which is the lower-limit solution of the stability coefficient. The generalized sense of slope integral model is obtained by mathematical induction The form, the homogeneous soil layer, the special-shaped slope, the stratified soil, and the slope with stable water level can all be applied to the horizontal integration method. The vertical integral model approaches the upper limit solution of the stability coefficient, and the application should pay attention to the amplification of the stability coefficient , To avoid unsafe evaluation. Two methods, vertical integration and horizontal integration, respectively define the upper and lower limits of stability coefficient, which provides a reasonable way to choose the slope stability coefficient.